Classical Mechanics

Classical mechanics describes the motion of bodies under Newton's laws, from a single point mass to a rigid body rotating in three dimensions, together with its variational reformulation through the Lagrangian and Hamiltonian formalisms. Central objects include momentum, angular momentum, the inertia tensor, and the action functional, whose stationary points give the equations of motion via the Euler-Lagrange equations. My interest is in the two computational languages available for the same physics, matrix and vector calculus alongside geometric algebra, which replaces Euler angles and the cross product with rotors and bivectors.